DYNAMIC ANALYSIS OF POROUS MEDIUM PROBLEMS BY THE FINITE ELEMENT METHODS.
Author
WU, JAMES SHIH-SHYN.Issue Date
1984Advisor
Simon, Bruce R.
Metadata
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The University of Arizona.Rights
Copyright © is held by the author. Digital access to this material is made possible by the University Libraries, University of Arizona. Further transmission, reproduction or presentation (such as public display or performance) of protected items is prohibited except with permission of the author.Abstract
General anisotropic constitutive laws and relevant dynamic equations of motion for porous media are described. The accuracy of various discretization algorithms in space and in time was surveyed. Results of these models and algorithms were compared to the exact solutions. Appropriate models and algorithms for further studies of spinal motion segments were then determined. Poroelastic axisymmetric finite element models, simulating spinal motion segments were analyzed and studied. Material properties of the intervertebral disc were derived by fitting experimental data based on porous medium theory using one-dimensional mathematical models. Structural models for the normal and degenerative processes were simulated for investigation of nutritional supply routes in the disc. Detailed structural anaalyses and failure conditions in various spinal motion segments were studied. Results of finite element analyses were consistent with the experimental observations. Nonlinear elastic material behavior of the solid skeleton was assumed and relevant formulas in creep were derived and examined. Preliminary results indicated that the nonlinear poroelastic material law used here may be useful in future analysis of the disc in finite element models of spinal motion segments.Type
textDissertation-Reproduction (electronic)
Degree Name
Ph.D.Degree Level
doctoralDegree Program
Aerospace and Mechanical EngineeringGraduate College